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The sum of a money is divided between A ...

The sum of a money is divided between A and B . A receives `2/3` of the total sum and B receives `3/11` of the remained. If the difference between the shares of A and B are Rs. 570.What was the total sum?

Text Solution

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Let the sum of money is Rs. x
A receives 2/3of the total sum.
Therefore A receives = 2x/3
Remained money is x/3
B receives 3/11 of the remained money.
Therefore B receives =( 3/11)(x/3)= x/11
The difference between the shares of A and B are Rs. 570.
`:. 2x/3 - x/11 = 570`
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